1. **State the problem:** Determine if triangles MNO and XYZ are similar and write a similarity statement if they are. 2. **Given information:** Triangle MNO has a right angle at N and a 40° angle at O. Triangle XYZ has a right angle at Z and a 40° angle at Y. 3. **Recall similarity criteria for triangles:** Triangles are similar if they have: - Corresponding angles equal (AA criterion), or - Corresponding sides proportional (SSS or SAS criteria). 4. **Analyze angles:** Both triangles have a right angle (90°) and a 40° angle. Since the sum of angles in a triangle is 180°, the third angle in each triangle is: $$180^\circ - 90^\circ - 40^\circ = 50^\circ$$ 5. **Conclusion on angles:** Triangles MNO and XYZ have angles 90°, 40°, and 50° each. By the AA criterion, the triangles are similar because they have two pairs of equal angles. 6. **Write similarity statement:** $$\triangle MNO \sim \triangle XYZ$$ 7. **Corresponding vertices:** - Angle M corresponds to angle X (both 50°) - Angle N corresponds to angle Z (both 90°) - Angle O corresponds to angle Y (both 40°) **Final answer:** Triangles MNO and XYZ are similar by AA similarity criterion. The similarity statement is $$\triangle MNO \sim \triangle XYZ$$ with corresponding angles M to X, N to Z, and O to Y.